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arXiv · 1410.8011

Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the $L^2$ critical case

Simão Correia
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Abstract

We consider the nonlinear Schrödinger equation with $L^2$-critical exponent and an inhomogeneous damping term. By using the tools developed by Merle and Raphael, we prove the existence of blowup phenomena in the energy space $H^1(\mathbb{R})$.

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Simão Correia. 2014-10-29. Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the $L^2$ critical case. https://doi.org/10.1142/s0219199714500308

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